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（x²+5）/(x+1)+(x+1)/(x²+5)=10/3,求X
题目详情
（x²+5）/(x+1)+(x+1)/(x²+5)=10/3,求X
▼优质解答
答案和解析
设（x²+5）/(x+1)=t
t+1/t=10/3
3t²+3=10t
3t²-10t+3=0
(3t-1)(t-3)=0
t1=1/3 t2=3
（x²+5）/(x+1)=1/3
3x²+15=x+1
3x²-x+14=0
无解
（x²+5）/(x+1)=3
x²+5=3x+3
x²-3x+2=0
(x-2)(x-1)=0
x1=2 x2=1
如追加其它问题,
t+1/t=10/3
3t²+3=10t
3t²-10t+3=0
(3t-1)(t-3)=0
t1=1/3 t2=3
（x²+5）/(x+1)=1/3
3x²+15=x+1
3x²-x+14=0
无解
（x²+5）/(x+1)=3
x²+5=3x+3
x²-3x+2=0
(x-2)(x-1)=0
x1=2 x2=1
如追加其它问题,
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